1311120101200 has 360 divisors, whose sum is σ = 3901102896768. Its totient is φ = 412371025920.

The previous prime is 1311120101197. The next prime is 1311120101209. The reversal of 1311120101200 is 21010211131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311120101209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1355863117 + ... + 1355864083.

Almost surely, 2^{1311120101200} is an apocalyptic number.

1311120101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311120101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950551448384).

1311120101200 is an abundant number, since it is smaller than the sum of its proper divisors (2589982795568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311120101200 is a wasteful number, since it uses less digits than its factorization.

1311120101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1311120101200 its reverse (21010211131), we get a palindrome (1332130312331).

The spelling of 1311120101200 in words is "one trillion, three hundred eleven billion, one hundred twenty million, one hundred one thousand, two hundred".